The oriented growth of the Fe-4.34Ni alloy has been performed in the Bridgm
an system. The solid/liquid interface has been frozen and the cellular morp
hology has been revealed. The doublet cells have been selected from among a
ll the frozen cells. The adequate equation has been applied to describe the
geometry of the selected doublet cells. This equation is the solution of d
ifferential equation similar to inhomogeneous equation formulated for the p
endulum motion with a restraining effect. The shape of revealed doublet cel
l has been reproduced using the formulated equations. Additionally the doub
let shape has been confirmed applying the EBSD technique.